1553301005880 has 256 divisors, whose sum is σ = 5334793228800. Its totient is φ = 358640179200.

The previous prime is 1553301005873. The next prime is 1553301005881. The reversal of 1553301005880 is 885001033551.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1553301005881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2734207 + ... + 3253073.

It is an arithmetic number, because the mean of its divisors is an integer number (20839036050).

Almost surely, 2^{1553301005880} is an apocalyptic number.

1553301005880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1553301005880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667396614400).

1553301005880 is an abundant number, since it is smaller than the sum of its proper divisors (3781492222920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1553301005880 is a wasteful number, since it uses less digits than its factorization.

1553301005880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519014 (or 519010 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 1553301005880 in words is "one trillion, five hundred fifty-three billion, three hundred one million, five thousand, eight hundred eighty".